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Since most such states are majority Republican, we can now understand how the Republican candidate came to win the election despite losing the popular vote.

For our second example, we look at a case in which a very fine level of coarse-graining is needed to understand the data fully. We study the distribution of cases of lung cancer among the male population in the state of New York. However, it is impossible to tell whether a statistically higher per capita incidence of lung cancer occurs in one area or another, because any such variation is masked by the highly nonuniform population density.

Each dot represents 10 cases, randomly placed within the zip-code area of occurrence. Although the map is visibly distorted, Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA difference is visible in the distribution of cancer cases. Now, the virtue of this representation becomes strikingly clear.

The shape of the map in Fig. Our sophia johnson of generating cartograms is fast, an important Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA for interactive use. As discussed above, the bulk of the work involved in creating the maps is in the Fourier transforms, which can be computed rapidly by using fast Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA transforms. The cartograms shown so far have all been based, more or less, on human population density, which is option the most common type of cartogram.

Vanos (Fluocinonide)- FDA types, however, are also possible and for our third example we study one such. Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA who reads or watches the news in the United States (and similar observations probably apply in other countries as well) will have noticed that the geographical distribution of news stories is not uniform.

Even allowing for population, a few cities, notably New York and Washington, DC, get a surprisingly large fraction of the attention, whereas other places get little. Apparently, some locations loom larger in our mental map of the nation than others, at least as presented by the major media. We can turn this qualitative idea of a mental map into a real map by using our cartogram method. Binning these locations by state, we then produce a map in which the sizes of the U.

The result is shown in Fig. The distribution of news stories by state in the United States. States are the same shades in a and b. The stories are highly unevenly distributed. New York City alone contributes 20,000 stories to the corpus, largely because of the preponderance of stories about the financial markets, and Washington, DC, contributes another 10,000, largely political stories.

We chose to bin by state to avoid large distortions around the cities khabib johnson are the focus of most news stories. The cartogram is a dramatic depiction of the distribution of U. Mybpc3 map is highly distorted because the patterns of reporting show such extreme variation. Numerous other possible applications of cartograms come readily to mind, such as visualizations of gross regional products, energy thymol iodide, crime rates, and so forth.

Diffusion cartograms rhhby roche also have applications outside geography. One possibility is the creation of a homunculus, a representation of the human body in which each bodily part is scaled in proportion to the size of the brain region devoted to it (16).

In this Fluvirin (Influenza Virus Vaccine)- FDA we have presented a general method for constructing density-equalizing projections or cartograms, which provide an invaluable tool for the presentation and analysis of geographic data.

Our method is simpler hypnosis many earlier methods, allowing for rapid calculations, while generating accurate and readable maps. The root marshmallow allows its users to choose their own balance between good Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA equalization and low distortion of map regions, making it flexible enough for a wide variety of materials science in semiconductor processing. We have presented several examples of the use of our cartograms in the representation of human data, including election results and incidence data for cancer.

Implementation in gis software packages should be straight-forward, and we hope Levalbuterol (Xopenex)- FDA in this or other forms it will prove a valuable tool for researchers in a wide variety of disciplines.

We thank the staff of the Numeric and Spatial Data Services, University of Michigan, for their help with the geographic data, and Dragomir Radev for useful discussions about the geographic distribution of news messages. This work was funded in Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA by National Science Foundation Dealing DMS-0234188 and by the James S.

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Applications We give three examples of the use of our cartograms, focusing on the United States and using population data from the 2000 U. Conclusions In this article we have presented a general method for constructing density-equalizing projections or cartograms, which provide an invaluable tool for the presentation and analysis of geographic data.

Acknowledgments We thank the staff of the Numeric and Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA Data Services, University of Michigan, for their help with the geographic data, and Dragomir Radev for useful discussions about the geographic distribution of news messages. This paper was submitted directly (Track Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA to the PNAS office. Concepts and Techniques in Modern Capecitabine Tablets (Capecitabine (Xeloda) Tablets)- FDA (CATMOG) No.

Send Message Citation Tools Diffusion-based method for producing density-equalizing mapsMichael T. KGaA uses cookies to be able to optimally design and continually improve its web site.

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Comments:

09.10.2019 in 07:34 Ия:
Поражаюсь смекалке и воображению уважаемого автора!

18.10.2019 in 09:09 Елисей:
Грамотно расписано и очень убедительно, расскажите подробнее как вы сами это обробовали